Question

How do you model a function?

Answer 1

@jim_thompson5910 Do you know?

Answer 2

Is that the full question they ask you?

Answer 3

No. I just wanted to know how. But here's the question: Create a model using function notation that represents how the two quantities, cups and cost, are related.

Answer 4

well honestly it's a very vague question and there are multiple ways to do it (depending on what the actual problem is)

Answer 5

so it's a linear model they want?

Answer 6

I suppose, but wouldn't that be a graph? They had me make a graph prior to this question.

Answer 7

what points are on this graph?

and if this graph is a straight line, then yes, you would have a linear model

Answer 8

Me equation is \[p(x) = 500c \times0.037+7\] and that is a straight line.

Answer 9

i meant \[p(x) = 500x \times 0.37 + 7\]

Answer 10

that is definitely linear, so which part isn't making sense? It looks like you have the linear model already

Answer 11

If i already have a graph, why're they asking me to make the same thing twice?

Answer 12

well the linear model is the equation of that graph (the graph is the visual component, the linear model is the algebraic component)

Answer 13

So
\[p(x) =500x \times0.037+7\] is my answer?

Answer 14

well I don't have any of the original material (the data or the question), so a lot is missing for me to confirm

Answer 15

This is my entire file. Note: I haven't added the graphs yet, and in some places I have to replace a table with graphs.

Answer 16

my computer doesn't recognize that file format, can you save it as a doc file?

Answer 17

oh nvm, i figured it out

Answer 18

i converted to a pdf

Answer 19

for part a) when you said

"F(x) = 15c + 85
In my equation, F of X is equal to 15c, where C is the number of charms
purchased, plus 85, because 15 is dependednt on the number of charms purchased."

That is incorrect because you should have had either f(x) = 15x + 85 or f(c) = 15c+85

Answer 20

I knew that. I don't know why I didn't change that..

Answer 21

and the slope for #3 is 0.037, so the equation should be f(x) = 0.037x + 7

Answer 22

x is the number of cups
f(x) is the cost

Answer 23

It calls for p(x)? And how would I define in the function that it increases in increments of 500?

Answer 24

you just make sure that x is a multiple of 500, the equation is still the same (use p(x) instead of f(x))

Answer 25

so p(x) = 0.037x + 7 where x is a multiple of 500

Answer 26

Sorry, was eating dinner. & okay, thank you. Is there anything else I need to know?

Answer 27

I think that covers any mistakes I've spotted so far

Answer 28

Okay. Thank you.

Answer 29

np